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M4U-9709-SE26-E-MO018 marks

E-MO01 · Capacity and the larger rows

An auditorium has 18 seats in its first row and 4 additional seats in each successive row. Its total capacity is 616 seats.

Find expressions for the number of seats in row n and the total in the first n rows.

[2]

Find the number of rows and the number of seats in the last row.

[3]

Find the total number of seats in rows that contain at least 50 seats.

[3]
Auditorium seatingThe first three rows contain 18, 22 and 26 seats. Four seats are added each row.Auditorium seating patternRow 118 seatsRow 222 seatsRow 326 seatsEach following row has 4 more seats.The complete auditorium contains 616 seats.
A schematic of the first three rows; not a scale plan.

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